1364633640 has 96 divisors (see below), whose sum is σ = 4578163200. Its totient is φ = 352160640.

The previous prime is 1364633617. The next prime is 1364633651. The reversal of 1364633640 is 463364631.

1364633640 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 6 + 3 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1364633595 and 1364633604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49980 + ... + 72299.

It is an arithmetic number, because the mean of its divisors is an integer number (47689200).

Almost surely, 2^1364633640 is an apocalyptic number.

1364633640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1364633640 is an abundant number, since it is smaller than the sum of its proper divisors (3213529560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1364633640 is a wasteful number, since it uses less digits than its factorization.

1364633640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122327 (or 122320 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 1364633640 is about 36940.9480116577. The cubic root of 1364633640 is about 1109.1884986648.

The spelling of 1364633640 in words is "one billion, three hundred sixty-four million, six hundred thirty-three thousand, six hundred forty".